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Finding the Fourth Proportional to 13,573.28, 20,360 and 3,712.64

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Solution

The fourth proportional to 13,573.28, 20,360 and 3,712.64 is: 5,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.28 : 20,360 = 3,712.64 : x
  2. Step 2: Convert to fraction form
    13,573.28/20,360 = 3,712.64/x
  3. Step 3: Cross multiply
    13,573.28x = 20,360 × 3,712.64
  4. Step 4: Simplify right side
    13,573.28x = 75,589,350.40
  5. Step 5: Solve for x
    x = 75,589,350.40/13,573.28
  6. Step 6: Final answer
    x = 5,568.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.